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We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

人工智能 · 计算机科学 2012-05-14 Daniel Andrade , Bernhard Sick

We address the problem of integrating data from multiple, possibly biased, observational and interventional studies, to eventually compute counterfactuals in structural causal models. We start from the case of a single observational dataset…

人工智能 · 计算机科学 2023-03-17 Marco Zaffalon , Alessandro Antonucci , David Huber , Rafael Cabañas

Graphical causal models led to the development of complete non-parametric identification theory in arbitrary structured systems, and general approaches to efficient inference. Nevertheless, graphical approaches to causal inference have not…

统计方法学 · 统计学 2021-11-02 AmirEmad Ghassami , Ilya Shpitser

Causal discovery serves a pivotal role in mitigating model uncertainty through recovering the underlying causal mechanisms among variables. In many practical domains, such as healthcare, access to the data gathered by individual entities is…

机器学习 · 计算机科学 2024-02-13 Amin Abyaneh , Nino Scherrer , Patrick Schwab , Stefan Bauer , Bernhard Schölkopf , Arash Mehrjou

A fundamental challenge in the empirical sciences involves uncovering causal structure through observation and experimentation. Causal discovery entails linking the conditional independence (CI) invariances in observational data to their…

机器学习 · 统计学 2025-11-04 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

In causal inference with ordinal outcomes, several interpretable estimands are functions of the probability that the potential outcome under one treatment is larger than that under another treatment for the same unit. This probability…

统计方法学 · 统计学 2026-05-13 Peiyu He , Fan Li

Causal inference seeks to estimate the effect of an intervention on an outcome using observed data, typically via Rubin's potential-outcome framework or Pearl's do-calculus. Following section 9 of Richardson and Robins (2013), this essay…

统计方法学 · 统计学 2026-05-19 Christian Bartels

Causal treatment effect estimation is a key problem that arises in a variety of real-world settings, from personalized medicine to governmental policy making. There has been a flurry of recent work in machine learning on estimating causal…

机器学习 · 计算机科学 2020-10-22 Niki Kilbertus , Matt J. Kusner , Ricardo Silva

Personalized decision making requires the knowledge of potential outcomes under different treatments, and confidence intervals about the potential outcomes further enrich this decision-making process and improve its reliability in…

机器学习 · 计算机科学 2024-05-22 Zonghao Chen , Ruocheng Guo , Jean-François Ton , Yang Liu

We propose estimators based on kernel ridge regression for nonparametric causal functions such as dose, heterogeneous, and incremental response curves. Treatment and covariates may be discrete or continuous in general spaces. Due to a…

计量经济学 · 经济学 2022-10-25 Rahul Singh , Liyuan Xu , Arthur Gretton

Instrumental variable models allow us to identify a causal function between covariates $X$ and a response $Y$, even in the presence of unobserved confounding. Most of the existing estimators assume that the error term in the response $Y$…

机器学习 · 统计学 2022-09-23 Sorawit Saengkyongam , Leonard Henckel , Niklas Pfister , Jonas Peters

Estimating mutual information (MI) is a fundamental yet challenging task in data science and machine learning. This work proposes a new estimator for mutual information. Our main discovery is that a preliminary estimate of the data…

机器学习 · 计算机科学 2024-08-20 Yanzhi Chen , Zijing Ou , Adrian Weller , Yingzhen Li

The presence of intermediate confounders, also called recanting witnesses, is a fundamental challenge to the investigation of causal mechanisms in mediation analysis, preventing the identification of natural path-specific effects. Proposed…

统计方法学 · 统计学 2024-01-10 Tat-Thang Vo , Nicholas Williams , Richard Liu , Kara E. Rudolph , Ivan Dıaz

As network data applications continue to expand, causal inference within networks has garnered increasing attention. However, hidden confounders complicate the estimation of causal effects. Most methods rely on the strong ignorability…

机器学习 · 计算机科学 2024-09-16 Xiaojing Du , Feiyu Yang , Wentao Gao , Xiongren Chen

Causal Bayesian networks are 'causal' models since they make predictions about interventional distributions. To connect such causal model predictions to real-world outcomes, we must determine which actions in the world correspond to which…

机器学习 · 统计学 2025-02-04 Frederik Hytting Jørgensen , Luigi Gresele , Sebastian Weichwald

Sequential experimental design to discover interventions that achieve a desired outcome is a key problem in various domains including science, engineering and public policy. When the space of possible interventions is large, making an…

机器学习 · 计算机科学 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

Obtaining a non-parametric expression for an interventional distribution is one of the most fundamental tasks in causal inference. Such an expression can be obtained for an identifiable causal effect by an algorithm or by manual application…

机器学习 · 统计学 2018-06-20 Santtu Tikka , Juha Karvanen

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

统计方法学 · 统计学 2019-02-06 Eli Sherman , Ilya Shpitser

We propose nonparametric identification and semiparametric estimation of joint potential outcome distributions in the presence of confounding. First, in settings with observed confounding, we derive tighter, covariate-informed bounds on the…

统计方法学 · 统计学 2026-02-19 Jianle Sun , Kun Zhang

Causal mediation analysis examines causal pathways linking exposures to disease. The estimation of interventional effects, which are mediation estimands that overcome certain identifiability problems of natural effects, has been advanced…

统计方法学 · 统计学 2025-04-23 Tong Chen , Stijn Vansteelandt , David Burgner , Toby Mansell , Margarita Moreno-Betancur